| Type de publication : |
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Preprint, Working Paper, Document sans référence, etc. |
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| Domaine : |
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Mathématiques/Algèbres quantiques
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| Titre : |
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Braids, Shuffles and Symmetrizers |
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| Auteur(s) : |
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A. P. Isaev, O. V. Ogievetsky 1 |
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| Laboratoire : |
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| Résumé : |
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Multiplicative analogues of the shuffle elements of the braid group rings are introduced; in local representations they give rise to certain graded associative algebras (b-shuffle algebras). For the Hecke and BMW algebras, the (anti)-symmetrizers have simple expressions in terms of the multiplicative shuffles. The (anti)-symmetrizers can be expressed in terms of the highest multiplicative 1-shuffles (for the Hecke and BMW algebras) and in terms of the highest additive 1-shuffles (for the Hecke algebras). The spectra and multiplicities of eigenvalues of the operators of the multiplication by the multiplicative and additive 1-shuffles are examined. |
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Langue du texte
intégral : |
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Anglais |
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Date de production,
écriture : |
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20/12/2008 |
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| Commentaire : |
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18 pages |
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